{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x480 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-np.pi, np.pi, 200, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.figure(figsize=(20, 6), dpi=80)\n",
    "plt.subplot(1, 2, 1)\n",
    "# 使用默认设置画出余弦曲线\n",
    "plt.plot(X, C)\n",
    "# 使用默认设置画出正弦曲线\n",
    "plt.plot(X, S)\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "# 移动坐标轴边线\n",
    "# 坐标轴总共有四个连线，我们通过设置透明色隐藏上方和右方的边线\n",
    "# 通过 set_position() 移动左侧和下侧的边线\n",
    "# 通过 set_ticks_position() 设置坐标轴的刻度线的显示位置\n",
    "ax = plt.gca()  # gca 代表当前坐标轴，即 'get current axis'\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "# 设置坐标刻度的字体大小，增加半透明背景\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65))\n",
    "    \n",
    "# 设置坐标轴的长度\n",
    "plt.xlim(X.min() * 1.1, X.max() * 1.1)\n",
    "plt.ylim(C.min() * 1.1, C.max() * 1.1)\n",
    "\n",
    "# 设置坐标轴的刻度和标签\n",
    "plt.xticks((-np.pi, -np.pi/2, np.pi/2, np.pi),\n",
    "          label=(r'$-\\pi$', r'$-\\pi/2$', r'$+\\pi/2$', r'$+\\pi$'))\n",
    "plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
    "\n",
    "\n",
    "# 画出余弦曲线，并设置线条颜色，宽度，样式\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.0, linestyle=\"-\")\n",
    "# 画出正弦曲线，并设置线条颜色，宽度，样式\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.0, linestyle=\"-\")\n",
    "\n",
    "# 在左上角添加铭牌\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "# 在坐标轴上标示相应的点\n",
    "t = 2 * np.pi / 3\n",
    "# 画出 cos(t) 所在的点在 X 轴上的位置，即画出 (t, 0) -> (t, cos(t)) 线段，使用虚线\n",
    "plt.plot([t, t], [0, np.cos(t)], color='blue', linewidth=1.5, linestyle=\"--\")\n",
    "# 画出标示的坐标点，即在 (t, cos(t)) 处画一个大小为 50 的蓝色点\n",
    "plt.scatter([t, ], [np.cos(t), ], 50, color='blue')\n",
    "# 画出标示点的值，即 cos(t) 的值\n",
    "plt.annotate(r'$cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "             xy=(t, np.cos(t)), xycoords='data',\n",
    "             xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "# 画出 sin(t) 所在的点在 X 轴上的位置，即画出 (t, 0) -> (t, sin(t)) 线段，使用虚线\n",
    "plt.plot([t, t],[0, np.sin(t)], color='red', linewidth=1.5, linestyle=\"--\")\n",
    "# 画出标示的坐标点，即在 (t, sin(t)) 处画一个大小为 50 的红色点\n",
    "plt.scatter([t, ],[np.sin(t), ], 50, color='red')\n",
    "# 画出标示点的值，即 sin(t) 的值\n",
    "plt.annotate(r'$sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "             xy=(t, np.sin(t)), xycoords='data',\n",
    "             xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "# 把结果显示在屏幕上\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-np.pi, np.pi, 200, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.figure(num='sin', figsize=(16, 4))\n",
    "plt.plot(X, S)\n",
    "\n",
    "plt.figure(num='cos', figsize=(16, 4))\n",
    "plt.plot(X, C)\n",
    "\n",
    "plt.figure(num='sin')\n",
    "plt.plot(X, C)\n",
    "\n",
    "print(plt.figure(num='sin').number)\n",
    "print(plt.figure(num='cos').number)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 4))\n",
    "\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'subplot(2, 2, 1)', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'subplot(2, 2, 2)', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'subplot(2, 2, 3)', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'subplot(2, 2, 4)', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1296x288 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "plt.figure(figsize=(18, 4))\n",
    "G = gridspec.GridSpec(3, 3)\n",
    "\n",
    "axes_1 = plt.subplot(G[0, :])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes_1', ha='center', va='center', size=24, alpha=.5)\n",
    "\n",
    "axes_2 = plt.subplot(G[1:, 0])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes_2', ha='center', va='center', size=24, alpha=.5)\n",
    "        \n",
    "axes_3 = plt.subplot(G[1:, -1])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes_3', ha='center', va='center', size=24, alpha=.5)\n",
    "   \n",
    "axes_4 = plt.subplot(G[1, -2])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes_4', ha='center', va='center', size=24, alpha=.5)\n",
    "\n",
    "axes_5 = plt.subplot(G[-1, -2])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes_5', ha='center', va='center', size=24, alpha=.5)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1296x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 4))\n",
    "\n",
    "plt.axes([.1, .1, .8, .8])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.2, 0.5, 'axes([.1, .1, .8, .8])', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "plt.axes([.5, .5, .3, .3])\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.text(0.5, 0.5, 'axes([.5, .5, .3, .3])', ha='center', va='center', size=20, alpha=.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1024x480 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def tickline():\n",
    "    \"\"\"\n",
    "    刻画坐标轴\n",
    "    \"\"\"\n",
    "    plt.xlim(0, 10), plt.ylim(-1, 1), plt.yticks([])\n",
    "    \n",
    "    ax = plt.gca()\n",
    "    ax.spines['right'].set_color('none')\n",
    "    ax.spines['left'].set_color('none')\n",
    "    ax.spines['top'].set_color('none')\n",
    "    \n",
    "    ax.xaxis.set_ticks_position('bottom')\n",
    "    ax.spines['bottom'].set_position(('data', 0))\n",
    "    \n",
    "    ax.yaxis.set_ticks_position('none')\n",
    "    ax.xaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "    \n",
    "    for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "        label.set_fontsize(16)\n",
    "    \n",
    "    ax.plot(np.arange(11), np.zeros(11))\n",
    "    return ax\n",
    "\n",
    "locators = [\n",
    "    'plt.NullLocator()',\n",
    "    'plt.MultipleLocator(base=1.0)',\n",
    "    'plt.FixedLocator(locs=[0, 2, 8, 9, 10])',\n",
    "    'plt.IndexLocator(base=3, offset=1)',\n",
    "    'plt.LinearLocator(numticks=5)',\n",
    "    'plt.LogLocator(base=2, subs=[1.0])',\n",
    "    'plt.MaxNLocator(nbins=3, steps=[1, 3, 5, 7, 9, 10])',\n",
    "    'plt.AutoLocator()',\n",
    "]\n",
    "\n",
    "n_locators = len(locators)\n",
    "\n",
    "size = 1024, 60 * n_locators\n",
    "dpi = 72.0\n",
    "figsize = size[0] / float(dpi), size[1] / float(dpi)\n",
    "fig = plt.figure(figsize=figsize, dpi=dpi)\n",
    "fig.patch.set_alpha(0)\n",
    "\n",
    "for i, locator in enumerate(locators):\n",
    "    plt.subplot(n_locators, 1, i+1)\n",
    "    ax = tickline()\n",
    "    ax.xaxis.set_major_locator(eval(locator))\n",
    "    plt.text(5, 0.3, locator[3:], ha='center', size=16)\n",
    "\n",
    "plt.subplots_adjust(bottom=.01, top=.99, left=.01, right=.99)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 1024\n",
    "X = np.random.normal(0, 1, n)\n",
    "Y = np.random.normal(0, 1, n)\n",
    "T = np.arctan2(Y, X)\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(X, Y, s=75, c=T, alpha=.5)\n",
    "\n",
    "plt.xlim(-1.5, 1.5)\n",
    "plt.xticks(())\n",
    "\n",
    "plt.ylim(-1.5, 1.5)\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 256\n",
    "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n",
    "Y = np.sin(2 * X)\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "\n",
    "plt.plot(X, Y + 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, 1, Y+1, color='blue', alpha=.25)\n",
    "\n",
    "plt.plot(X, Y - 1, color='blue', alpha=1.00)\n",
    "plt.fill_between(X, -1, Y-1, (Y-1) > -1, color=\"blue\", alpha=.25)\n",
    "plt.fill_between(X, -1, Y-1, (Y-1) < -1, color=\"red\", alpha=.25)\n",
    "\n",
    "plt.xlim(-np.pi, np.pi)\n",
    "plt.xticks(())\n",
    "\n",
    "plt.ylim(-2.5, 2.5)\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 12\n",
    "X = np.arange(n)\n",
    "Y1 = (1-X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "Y2 = (1-X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
    "\n",
    "plt.bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n",
    "plt.bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n",
    "\n",
    "for x, y in zip(X, Y1):\n",
    "    plt.text(x + 0.4, y + 0.5, '%.2f' % y, ha='center', va='bottom')\n",
    "\n",
    "for x, y in zip(X, Y2):\n",
    "    plt.text(x + 0.4, -y - 0.5, '%.2f' % y, ha='center', va='bottom')\n",
    "\n",
    "plt.xlim(-.5, n)\n",
    "plt.xticks(())\n",
    "\n",
    "plt.ylim(-1.25, 1.25)\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "H:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:11: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
    "\n",
    "n = 256\n",
    "x = np.linspace(-3, 3, n)\n",
    "y = np.linspace(-3, 3, n)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "\n",
    "plt.contourf(X, Y, f(X, Y), 8, alpha=.75, cmap=plt.cm.hot)\n",
    "C = plt.contour(X, Y, f(X, Y), 8, colors='black', linewidth=.5)\n",
    "plt.clabel(C, inline=1, fontsize=10)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x, y):\n",
    "    return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
    "\n",
    "n = 10\n",
    "x = np.linspace(-3, 3, 4 * n)\n",
    "y = np.linspace(-3, 3, 3 * n)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "plt.imshow(f(X, Y), cmap='hot', origin='low')\n",
    "plt.colorbar(shrink=.83)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([], <a list of 0 Text yticklabel objects>)"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 20\n",
    "Z = np.ones(n)\n",
    "Z[-1] *= 2\n",
    "\n",
    "plt.pie(Z, explode=Z * .05, colors=['%f' % (i / float(n)) for i in range(n)])\n",
    "plt.axis('equal')\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.subplot(1, 1, 1)\n",
    "\n",
    "ax.set_xlim(0, 4)\n",
    "ax.set_ylim(0, 3)\n",
    "\n",
    "ax.xaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "\n",
    "ax.yaxis.set_major_locator(plt.MultipleLocator(1.0))\n",
    "ax.yaxis.set_minor_locator(plt.MultipleLocator(0.1))\n",
    "\n",
    "ax.grid(which='major', axis='x', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='x', linewidth=0.25, linestyle='-', color='0.75')\n",
    "ax.grid(which='major', axis='y', linewidth=0.75, linestyle='-', color='0.75')\n",
    "ax.grid(which='minor', axis='y', linewidth=0.25, linestyle='-', color='0.75')\n",
    "\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.subplot(1, 1, 1, polar=True)\n",
    "\n",
    "N = 20\n",
    "theta = np.arange(0.0, 2 * np.pi, 2 * np.pi / N)\n",
    "radii = 10 * np.random.rand(N)\n",
    "width = np.pi / 4 * np.random.rand(N)\n",
    "bars = plt.bar(theta, radii, width=width, bottom=0.0)\n",
    "\n",
    "for r, bar in zip(radii, bars):\n",
    "    bar.set_facecolor(plt.cm.jet(r / 10.))\n",
    "    bar.set_alpha(0.5)\n",
    "\n",
    "ax.set_xticklabels([])\n",
    "ax.set_yticklabels([])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
